Corollary 1

Tag 091J, permanent. Cite it as [Bourbaki, Tag 091J].

Integration, chapter V, § 3. Integration of positive measures

— If $\Lambda$ is a bounded diffusion, then every bounded positive measure $\mu$ belongs to the domain of $\Lambda$ , and $\| \mu \Lambda \| \leq \| \mu \| \| \Lambda \|$ .

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

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